Search a number
-
+
1010001200022 = 232283379541967
BaseRepresentation
bin11101011001010001100…
…00110100001110010110
310120112222201110000201200
432230220300310032112
5113021440301400042
62051553234533330
7132653525356413
oct16545060641626
93515881400650
101010001200022
1135a38038a561
121438b3437246
13743202b6289
1436c547dd10a
151b4147aec4c
hexeb28c34396

1010001200022 has 96 divisors (see below), whose sum is σ = 2208214145280. Its totient is φ = 333628424640.

The previous prime is 1010001200017. The next prime is 1010001200029. The reversal of 1010001200022 is 2200021000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010001199977 and 1010001200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001200029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044468183 + ... + 1044469149.

It is an arithmetic number, because the mean of its divisors is an integer number (23002230680).

Almost surely, 21010001200022 is an apocalyptic number.

1010001200022 is an abundant number, since it is smaller than the sum of its proper divisors (1198212945258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010001200022 is a wasteful number, since it uses less digits than its factorization.

1010001200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010001200022 its reverse (2200021000101), we get a palindrome (3210022200123).

The spelling of 1010001200022 in words is "one trillion, ten billion, one million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 283 379 541 566 758 849 967 1082 1137 1623 1698 1934 2274 2547 2901 3246 3411 4869 5094 5802 6822 8703 9738 17406 107257 153103 205039 214514 273661 306206 321771 366493 410078 459309 523147 547322 615117 643542 732986 820983 918618 965313 1046294 1099479 1230234 1377927 1569441 1641966 1845351 1930626 2198958 2462949 2755854 3138882 3298437 3690702 4708323 4925898 6596874 9416646 58026037 103717519 116052074 148050601 174078111 198272713 207435038 296101202 311152557 348156222 396545426 444151803 522234333 594818139 622305114 888303606 933457671 1044468666 1189636278 1332455409 1784454417 1866915342 2664910818 3568908834 56111177779 112222355558 168333533337 336667066674 505000600011 1010001200022